Ask HN: Should I get a new domain for the product I'll launch?

Hello,

My colleague and I will soon launch a landing page for an upcoming product, which is basically a mobile app.

We are debating whether we should get a new domain for this product of if it won't make a difference.

Our "main" domain, the organization's one, is 6 characters long and ending with .com.

Our product's name is also 6 characters long, so our landing page would be abcdef.ghijkl.com.

Another point that was mentioned was e-mails, will it be a problem to have an e-mail like support@abcdef.ghijkl.com?